Introduction to shape optimization - theory, approximation, and computation
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Preface Notation Introduction Part I. Mathematical aspects of sizing and shape optimization. 1. Why the mathematical analysis is important 2. A mathematical introduction to sizing and shape optimization Part II. Computational aspects of sizing and shape optimization. 3. Sensitivity analysis 4. Numerical minimization methods 5. On automatic differentiation of computer programs 6. Fictitious domain methods in shape optimization Part III. Applications. 7. Applications in elasticity 8. Fluid mechanical and multidisciplinary applications Appendix A. Weak formulations and approximations of elliptic equations and inequalities Appendix B. On parametrizations of shapes and mesh generation Bibliography Index.